1572113664 has 576 divisors, whose sum is σ = 5651251200. Its totient is φ = 425779200.

The previous prime is 1572113639. The next prime is 1572113671. The reversal of 1572113664 is 4663112751.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50713329 + ... + 50713359.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2^1572113664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1572113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825625600).

1572113664 is an abundant number, since it is smaller than the sum of its proper divisors (4079137536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1572113664 is a wasteful number, since it uses less digits than its factorization.

1572113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1572113664 is about 39649.8885748750. Note that the first 3 decimals coincide. The cubic root of 1572113664 is about 1162.7722201208.

The spelling of 1572113664 in words is "one billion, five hundred seventy-two million, one hundred thirteen thousand, six hundred sixty-four".